Answer:
C = 53D + 99
Step-by-step explanation:
The cost (C) is equal to $53 per day (53 multiplied by the number of days, D) plus the fixed deposit (+ 99)
Expressed as a linear equation below
C = 53D + 99
The cost of soda is $4.75 and the cost of hot dog is $2.5
<u>Step-by-step explanation</u>:
<u>Let us assume :</u>
- The cost of soda be 'x'.
- The cost of hot dog be 'y'.
<u>Given that,</u>
The cost of 2 sodas and 3 hot dogs are $17.
⇒ 2x + 3y = 17 ------(1)
The cost of 5 sodas and 6 hot dogs are $38.75
⇒ 5x + 6y = 38.75 -------(2)
<u>Solving the equations to find x and y values :</u>
Multiply eq(1) by 2 and subtract eq(2) from eq(1),
4x + 6y = 34
-(<u>5x + 6y = 38.75</u>)
<u>-x = -4.75 </u>
The value of x = 4.75
The cost of soda is $4.75
Substitute x=4.75 in eq(1),
2(4.75) + 3y = 17
3y = 17 - 9.5
3y = 7.5
y = 7.5/3
y = 2.5
The cost of hot dog is $2.5
Greatest common factor is 1
Note
- GCF stands for Greatest common factor
You write it like 3 21/100
Step-by-step explanation:
if x-4 is a factor of 2x^3 + x^2- 26x - 40
then f(4) = 0
f(x) = 2x^3 + x^2- 26x - 40
f(4) = 2(4)^3 + (4)^2 - 26(4) - 40
f(4)= 2(64) + 16 - 104 - 40
f(4) = 128 + 16 - 104 - 40
f(4) = 0
hence factorize completely is the photo
